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Number and Operations – Fractions
Preparation for 5.NF.2
Lesson 2
Greatest
Common Factor
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The table shows the amount of money
Ms. Ayala made over three days selling
4-inch × 6-inch prints at an arts festival.
Each print costs the same amount. What
is the most each print could have cost?
connectED.mcgraw-hill.com
Ms. Ayala’s Artwork
Day
Cost (\$)
Friday
Saturday
Sunday
60
144
96
Write the prime factorization to find common factors.
144
96
60
6
×
12
×
× 6
× 2 ×
12
8
×
12
10
2
6
2
×
4
× 2
×
6
2 × 3 × 2 × 5
prime factorization
2 × 2 × 3 × 2 × 2 × 3
2 × 2 × 2 × 2 × 2 × 3
prime factorization
prime factorization
The common prime factors are 2, 2, and 3.
Multiply to find the GCF.
2 × 2 × 3 = 12
So, the greatest cost of each print would be \$12.
Practice
Find the GCF of each set of numbers.
1. 21, 30
2. 12, 30, 72
Lesson 2 My Homework561
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Problem Solving
3. A store sells boxes of juice in equal-size packs.
Garth bought 18 boxes, Rico bought 36 boxes,
and Mai bought 45 boxes. What is the greatest
number of boxes in each pack? How many packs
did each person buy if each box contained the
greatest number of boxes possible?
3
4.
Justify Conclusions The GCF of any two even
numbers is always even. Determine whether the statement is true
or false. If true, explain why. If false, give a reason.
Vocab
5. Circle the correct term that makes the sentence true.
The ( greatest , least) of the common factors of two or more
numbers is the ( greatest , least) common factor of the numbers.
Test Practice
6. Jeremiah will share his collection with his
friends so that they each receive the same
number of cards. What is the greatest number
of cards they will each receive?
A
4 cards
C
12 cards
B
8 cards
D
16 cards